Lectures
08/22 Lecture 1. Vectors in 2-space (§13.1).
08/24 Lecture 2. Vectors in 3-space (§13.2).
08/29 Lecture 4. Cross product (§13.4).
08/31 Lecture 5. Lines and planes in 3-space (§13.5). (Video)
09/02 Lecture 6. Surfaces in 3-space (§13.6). (Video)
09/07 Lecture 7. Vector-valued functions (§14.1). (Video)
09/19 Lecture 12. Partial derivatives I (§15.3). (Video)
09/21 Lecture 13. Partial derivatives II (§15.4). (Video)
09/23 Lecture 14. Directional derivatives and the gradient I (§15.5). (Video)
09/26 Lecture 15. Directional derivatives and the gradient II (§15.5). (Video)
09/28 Lecture 16. Tangent planes (§15.6). (Video)
09/30 Lecture 17. Linear approximation (§15.6). (Video)
10/03 Lecture 18. Local extrema (§15.7). (Video)
10/05 Lecture 19. The second derivative test (§15.7). (Video)
10/10 Lecture 21. Lagrange multipliers I (§15.8). (Video)
10/12 Lecture 22. Lagrange multipliers II (§15.8). (Video)
10/14 Lecture 23. Double integration: rectangular regions (§16.1). (Video)
10/24 Lecture 27. Midterm review. (Video)
10/26 Lecture 28. Spherical coordinates (§16.5). (Video)
10/28 Lecture 29. Centers of mass (§16.6). (Video)
10/31 Lecture 30. Change of variables (§16.7). (Video)
11/02 Lecture 31. Vector fields (§17.1). (Video)
11/04 Lecture 32. Gradient fields (§17.1). (Video)
11/07 Lecture 33. Line integrals (§17.2). (Video)
11/09 Lecture 34. Line integrals of gradient fields (§17.3). (Video)
11/11 Lecture 35. Flux integrals (§17.2). (Video)
11/14 Lecture 36. Green's theorem I (§17.4). (Video)
11/16 Lecture 37. Green's theorem II (§17.4). (Video)
11/18 Lecture 38. Three-dimensional curl and divergence (§17.5). (Video)
11/21 Lecture 39. Surface integrals I (§17.6). (Video)
11/28 Lecture 41. The divergence theorem (§17.8). (Video)
11/30 Lecture 42. Stokes' theorem (§17.7). (Video)